Allied & ICAR Exam Bank • ALLIED_2575 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

In a 4x4x4 painted cube cut into unit cubes, how many unit cubes have exactly 1 face painted?

Answer Key:

24

Step-by-Step Solution & Explanation

Cubes with 1 face painted are at the centers of the 6 faces: 6 * (n - 2)^2 = 6 * (4 - 2)^2 = 6 * 4 = 24 cubes.
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